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Finding the Third Proportional to 57,206.50 and 123,480

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Solution

The third proportional to 57,206.50 and 123,480 is: 266,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,206.50 : 123,480 = 123,480 : x
  2. Step 2: Convert to fraction form
    57,206.50/123,480 = 123,480/x
  3. Step 3: Cross multiply
    57,206.50x = 123,480 × 123,480
  4. Step 4: Simplify right side
    57,206.50x = 15,247,310,400
  5. Step 5: Solve for x
    x = 15,247,310,400/57,206.50
  6. Step 6: Final answer
    x = 266,531.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.